Plato !
a restaurant owner wants to determine the effectiveness of his servers. the owner conducted a survey by asking 30 customers about the servers' effectiveness, on a day when the restaurant had 450 customers. the owner found that 65% of those surveyed were satisfied with the service offered. assuming a 95% confidence level, which of the following statements holds true?

Julia chooses a card at random from her set of cards. what is the probability that the card is labeled cat or hamster?

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).